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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

To state: The system of equations as independent, dependent, or inconsistent. Then solve the independent systems by graphing. 5 − y = 2 x 6 x − 15 = − 3 y The system is dependent. Given information: The given system is: 5 − y = 2 x 6 x − 15 = − 3 y Explanation: For two equation a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 . The system of equation will be independent if: a 1 a 2 ≠ b 1 b 2 The system of equation will be dependent if: a 1 a 2 = b 1 b 2 = c 1 c 2 The system of equation will be inconsistent if: a 1 a 2 = b 1 b 2 ≠ c 1 c 2 Now consider the given system: 5 − y = 2 x 6 x − 15 = − 3 y The equations can be written as: − 2 x − y + 5 = 0 6 x + 3 y − 15 = 0 Now check if the system of equations is independent, dependent, or inconsistent: − 2 6 = − 1 3 = 5 − 15 It can also be written as − 1 3 = − 1 3 = − 1 3 . Therefore, the lines are dependent and it has infinitely many solutions.

To state: The system of equations as independent, dependent, or inconsistent. Then solve the independent systems by graphing. 5 − y = 2 x 6 x − 15 = − 3 y The system is dependent. Given information: The given system is: 5 − y = 2 x 6 x − 15 = − 3 y Explanation: For two equation a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 . The system of equation will be independent if: a 1 a 2 ≠ b 1 b 2 The system of equation will be dependent if: a 1 a 2 = b 1 b 2 = c 1 c 2 The system of equation will be inconsistent if: a 1 a 2 = b 1 b 2 ≠ c 1 c 2 Now consider the given system: 5 − y = 2 x 6 x − 15 = − 3 y The equations can be written as: − 2 x − y + 5 = 0 6 x + 3 y − 15 = 0 Now check if the system of equations is independent, dependent, or inconsistent: − 2 6 = − 1 3 = 5 − 15 It can also be written as − 1 3 = − 1 3 = − 1 3 . Therefore, the lines are dependent and it has infinitely many solutions.

Solution Summary: The author states that the system of equations is independent, dependent, or inconsistent, and solves the independent systems by graphing.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Expert Solution & Answer

Chapter 3, Problem 4E

Solution

To state: The system of equations as independent, dependent, or inconsistent. Then solve the independent systems by graphing.

5−y=2x6x−15=−3y

The system is dependent.

Given information:

The given system is:

5−y=2x6x−15=−3y

Explanation:

For two equation a1x+b1y+c1=0 and a2x+b2y+c2=0 .

The system of equation will be independent if: a1a2≠b1b2

The system of equation will be dependent if: a1a2=b1b2=c1c2

The system of equation will be inconsistent if: a1a2=b1b2≠c1c2

Now consider the given system:

5−y=2x6x−15=−3y

The equations can be written as:

−2x−y+5=06x+3y−15=0

Now check if the system of equations is independent, dependent, or inconsistent:

−26=−13=5−15

It can also be written as −13=−13=−13 .

Therefore, the lines are dependent and it has infinitely many solutions.

Chapter 3, Problem 3E

Chapter 3, Problem 5E

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 1LC Ch. 3.1 - Prob. 2LC Ch. 3.1 - Prob. 3LC Ch. 3.1 - Prob. 4LC Ch. 3.1 - Prob. 5LC Ch. 3.1 - Prob. 6LC Ch. 3.1 - Prob. 7PPSE Ch. 3.1 - Prob. 8PPSE Ch. 3.1 - Prob. 9PPSE Ch. 3.1 - Prob. 10PPSE

Ch. 3.1 - Prob. 11PPSE Ch. 3.1 - Prob. 12PPSE Ch. 3.1 - Prob. 13PPSE Ch. 3.1 - Prob. 14PPSE Ch. 3.1 - Prob. 15PPSE Ch. 3.1 - Prob. 16PPSE Ch. 3.1 - Prob. 17PPSE Ch. 3.1 - Prob. 18PPSE Ch. 3.1 - Prob. 19PPSE Ch. 3.1 - Prob. 20PPSE Ch. 3.1 - Prob. 21PPSE Ch. 3.1 - Prob. 22PPSE Ch. 3.1 - Prob. 23PPSE Ch. 3.1 - Prob. 24PPSE Ch. 3.1 - Prob. 25PPSE Ch. 3.1 - Prob. 26PPSE Ch. 3.1 - Prob. 27PPSE Ch. 3.1 - Prob. 28PPSE Ch. 3.1 - Prob. 29PPSE Ch. 3.1 - Prob. 30PPSE Ch. 3.1 - Prob. 31PPSE Ch. 3.1 - Prob. 32PPSE Ch. 3.1 - Prob. 33PPSE Ch. 3.1 - Prob. 34PPSE Ch. 3.1 - Prob. 35PPSE Ch. 3.1 - Prob. 36PPSE Ch. 3.1 - Prob. 37PPSE Ch. 3.1 - Prob. 38PPSE Ch. 3.1 - Prob. 39PPSE Ch. 3.1 - Prob. 40PPSE Ch. 3.1 - Prob. 41PPSE Ch. 3.1 - Prob. 42PPSE Ch. 3.1 - Prob. 43PPSE Ch. 3.1 - Prob. 44PPSE Ch. 3.1 - Prob. 45PPSE Ch. 3.1 - Prob. 46PPSE Ch. 3.1 - Prob. 47PPSE Ch. 3.1 - Prob. 48PPSE Ch. 3.1 - Prob. 49PPSE Ch. 3.1 - Prob. 50PPSE Ch. 3.1 - Prob. 51PPSE Ch. 3.1 - Prob. 52PPSE Ch. 3.1 - Prob. 53PPSE Ch. 3.1 - Prob. 54PPSE Ch. 3.1 - Prob. 55PPSE Ch. 3.1 - Prob. 56PPSE Ch. 3.2 - Prob. 1LC Ch. 3.2 - Prob. 2LC Ch. 3.2 - Prob. 3LC Ch. 3.2 - Prob. 4LC Ch. 3.2 - Prob. 5LC Ch. 3.2 - Prob. 6LC Ch. 3.2 - Prob. 7LC Ch. 3.2 - Prob. 8LC Ch. 3.2 - Prob. 9LC Ch. 3.2 - Prob. 10PPSE Ch. 3.2 - Prob. 11PPSE Ch. 3.2 - Prob. 12PPSE Ch. 3.2 - Prob. 13PPSE Ch. 3.2 - Prob. 14PPSE Ch. 3.2 - Prob. 15PPSE Ch. 3.2 - Prob. 16PPSE Ch. 3.2 - Prob. 17PPSE Ch. 3.2 - Prob. 18PPSE Ch. 3.2 - Prob. 19PPSE Ch. 3.2 - Prob. 20PPSE Ch. 3.2 - Prob. 21PPSE Ch. 3.2 - Prob. 22PPSE Ch. 3.2 - Prob. 23PPSE Ch. 3.2 - Prob. 24PPSE Ch. 3.2 - Prob. 25PPSE Ch. 3.2 - Prob. 26PPSE Ch. 3.2 - Prob. 27PPSE Ch. 3.2 - Prob. 28PPSE Ch. 3.2 - Prob. 29PPSE Ch. 3.2 - Prob. 30PPSE Ch. 3.2 - Prob. 31PPSE Ch. 3.2 - Prob. 32PPSE Ch. 3.2 - Prob. 33PPSE Ch. 3.2 - Prob. 34PPSE Ch. 3.2 - Prob. 35PPSE Ch. 3.2 - Prob. 36PPSE Ch. 3.2 - Prob. 37PPSE Ch. 3.2 - Prob. 38PPSE Ch. 3.2 - Prob. 39PPSE Ch. 3.2 - Prob. 40PPSE Ch. 3.2 - Prob. 41PPSE Ch. 3.2 - Prob. 42PPSE Ch. 3.2 - Prob. 43PPSE Ch. 3.2 - 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Prob. 62PPSE Ch. 3.3 - Prob. 63PPSE Ch. 3.3 - Prob. 64PPSE Ch. 3.3 - Prob. 65PPSE Ch. 3.3 - Prob. 66PPSE Ch. 3.3 - Prob. 67PPSE Ch. 3.3 - Prob. 68PPSE Ch. 3.3 - Prob. 69PPSE Ch. 3.3 - Prob. 70PPSE Ch. 3.3 - Prob. 71PPSE Ch. 3.3 - Prob. 72PPSE Ch. 3.4 - Prob. 1LC Ch. 3.4 - Prob. 2LC Ch. 3.4 - Prob. 3LC Ch. 3.4 - Prob. 4LC Ch. 3.4 - Prob. 5LC Ch. 3.4 - Prob. 6LC Ch. 3.4 - Prob. 7LC Ch. 3.4 - Prob. 8LC Ch. 3.4 - Prob. 9LC Ch. 3.4 - Prob. 10PPSE Ch. 3.4 - Prob. 11PPSE Ch. 3.4 - Prob. 12PPSE Ch. 3.4 - Prob. 13PPSE Ch. 3.4 - Prob. 14PPSE Ch. 3.4 - Prob. 15PPSE Ch. 3.4 - Prob. 16PPSE Ch. 3.4 - Prob. 17PPSE Ch. 3.4 - Prob. 18PPSE Ch. 3.4 - Prob. 19PPSE Ch. 3.4 - Prob. 20PPSE Ch. 3.4 - Prob. 21PPSE Ch. 3.4 - Prob. 22PPSE Ch. 3.4 - Prob. 23PPSE Ch. 3.4 - Prob. 24PPSE Ch. 3.4 - Prob. 25PPSE Ch. 3.4 - Prob. 26PPSE Ch. 3.4 - Prob. 27PPSE Ch. 3.4 - Prob. 28PPSE Ch. 3.4 - Prob. 29PPSE Ch. 3.4 - Prob. 30PPSE Ch. 3.4 - Prob. 31PPSE Ch. 3.4 - Prob. 32PPSE Ch. 3.4 - Prob. 33PPSE Ch. 3.4 - Prob. 34PPSE Ch. 3.4 - Prob. 35PPSE Ch. 3.4 - Prob. 36PPSE Ch. 3.4 - Prob. 37PPSE Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.5 - Prob. 1A Ch. 3.5 - Prob. 2A Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.5 - Prob. 9A Ch. 3.5 - Prob. 10A Ch. 3.5 - Prob. 11A Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 1LC Ch. 3.5 - Prob. 2LC Ch. 3.5 - Prob. 3LC Ch. 3.5 - Prob. 4LC Ch. 3.5 - Prob. 5LC Ch. 3.5 - Prob. 6LC Ch. 3.5 - Prob. 7LC Ch. 3.5 - Prob. 8LC Ch. 3.5 - Prob. 9PPSE Ch. 3.5 - Prob. 10PPSE Ch. 3.5 - Prob. 11PPSE Ch. 3.5 - Prob. 12PPSE Ch. 3.5 - Prob. 13PPSE Ch. 3.5 - Prob. 14PPSE Ch. 3.5 - Prob. 15PPSE Ch. 3.5 - Prob. 16PPSE Ch. 3.5 - Prob. 17PPSE Ch. 3.5 - Prob. 18PPSE Ch. 3.5 - Prob. 19PPSE Ch. 3.5 - Prob. 20PPSE Ch. 3.5 - Prob. 21PPSE Ch. 3.5 - Prob. 22PPSE Ch. 3.5 - Prob. 23PPSE Ch. 3.5 - Prob. 24PPSE Ch. 3.5 - Prob. 25PPSE Ch. 3.5 - Prob. 26PPSE Ch. 3.5 - Prob. 27PPSE Ch. 3.5 - Prob. 28PPSE Ch. 3.5 - Prob. 29PPSE Ch. 3.5 - Prob. 30PPSE Ch. 3.5 - Prob. 31PPSE Ch. 3.5 - Prob. 32PPSE Ch. 3.5 - Prob. 33PPSE Ch. 3.5 - Prob. 34PPSE Ch. 3.5 - Prob. 35PPSE Ch. 3.5 - Prob. 36PPSE Ch. 3.5 - Prob. 37PPSE Ch. 3.5 - Prob. 38PPSE Ch. 3.5 - Prob. 39PPSE Ch. 3.5 - Prob. 40PPSE Ch. 3.5 - Prob. 41PPSE Ch. 3.5 - Prob. 42PPSE Ch. 3.5 - Prob. 43PPSE Ch. 3.5 - Prob. 44PPSE Ch. 3.5 - Prob. 45PPSE Ch. 3.6 - Prob. 1LC Ch. 3.6 - Prob. 2LC Ch. 3.6 - Prob. 3LC Ch. 3.6 - Prob. 4LC Ch. 3.6 - Prob. 5LC Ch. 3.6 - Prob. 6LC Ch. 3.6 - Prob. 7LC Ch. 3.6 - Prob. 8PPSE Ch. 3.6 - Prob. 9PPSE Ch. 3.6 - Prob. 10PPSE Ch. 3.6 - Prob. 11PPSE Ch. 3.6 - Prob. 12PPSE Ch. 3.6 - Prob. 13PPSE Ch. 3.6 - Prob. 14PPSE Ch. 3.6 - Prob. 15PPSE Ch. 3.6 - Prob. 16PPSE Ch. 3.6 - Prob. 17PPSE Ch. 3.6 - Prob. 18PPSE Ch. 3.6 - Prob. 19PPSE Ch. 3.6 - Prob. 20PPSE Ch. 3.6 - Prob. 21PPSE Ch. 3.6 - Prob. 22PPSE Ch. 3.6 - Prob. 23PPSE Ch. 3.6 - Prob. 24PPSE Ch. 3.6 - Prob. 25PPSE Ch. 3.6 - Prob. 26PPSE Ch. 3.6 - Prob. 27PPSE Ch. 3.6 - Prob. 28PPSE Ch. 3.6 - Prob. 29PPSE Ch. 3.6 - Prob. 30PPSE Ch. 3.6 - Prob. 31PPSE Ch. 3.6 - Prob. 32PPSE Ch. 3.6 - Prob. 33PPSE Ch. 3.6 - Prob. 34PPSE Ch. 3.6 - Prob. 35PPSE Ch. 3.6 - Prob. 36PPSE Ch. 3.6 - Prob. 37PPSE Ch. 3.6 - Prob. 38PPSE Ch. 3.6 - Prob. 39PPSE Ch. 3.6 - Prob. 40PPSE Ch. 3.6 - Prob. 41PPSE Ch. 3.6 - Prob. 42PPSE Ch. 3.6 - Prob. 43PPSE Ch. 3.6 - Prob. 44PPSE Ch. 3.6 - Prob. 45PPSE Ch. 3.6 - Prob. 46PPSE Ch. 3.6 - Prob. 47PPSE Ch. 3.6 - Prob. 48PPSE Ch. 3.6 - Prob. 49PPSE Ch. 3.6 - Prob. 50PPSE Ch. 3.6 - Prob. 51PPSE Ch. 3.6 - Prob. 52PPSE Ch. 3.6 - Prob. 53PPSE Ch. 3.6 - Prob. 54PPSE Ch. 3.6 - Prob. 55PPSE Ch. 3.6 - Prob. 56PPSE Ch. 3.6 - Prob. 57PPSE Ch. 3.6 - Prob. 58PPSE Ch. 3 - Prob. 1GR Ch. 3 - Prob. 2GR Ch. 3 - Prob. 3GR Ch. 3 - Prob. 4GR Ch. 3 - Prob. 5GR Ch. 3 - Prob. 6GR Ch. 3 - Prob. 7GR Ch. 3 - Prob. 8GR Ch. 3 - Prob. 9GR Ch. 3 - Prob. 10GR Ch. 3 - Prob. 11GR Ch. 3 - Prob. 12GR Ch. 3 - Prob. 13GR Ch. 3 - Prob. 14GR Ch. 3 - Prob. 15GR Ch. 3 - Prob. 16GR Ch. 3 - Prob. 17GR Ch. 3 - Prob. 18GR Ch. 3 - Prob. 19GR Ch. 3 - Prob. 20GR Ch. 3 - Prob. 21GR Ch. 3 - Prob. 22GR Ch. 3 - Prob. 23GR Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 1CV Ch. 3 - Prob. 2CV Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 9E Ch. 3 - Prob. 10E Ch. 3 - Prob. 11E Ch. 3 - Prob. 12E Ch. 3 - Prob. 13E Ch. 3 - Prob. 14E Ch. 3 - Prob. 15E Ch. 3 - Prob. 16E Ch. 3 - Prob. 17E Ch. 3 - Prob. 18E Ch. 3 - Prob. 19E Ch. 3 - 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